Transposed matrix index notation confusionA Problem with Index NotationConvert expression from index to matrix/vector notationTorsion (Abstract index notation)Practicing Index Notation proofsMultidimensional Tensor Inverse - Index NotationIndex Notation Questiondivergence of dyadic product using index notationValidity of Index NotationDerivative of matrix using index notationIndex notation - notation for the inverse change of basis matrix with a hermitian metric
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Transposed matrix index notation confusion
A Problem with Index NotationConvert expression from index to matrix/vector notationTorsion (Abstract index notation)Practicing Index Notation proofsMultidimensional Tensor Inverse - Index NotationIndex Notation Questiondivergence of dyadic product using index notationValidity of Index NotationDerivative of matrix using index notationIndex notation - notation for the inverse change of basis matrix with a hermitian metric
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In an attempt to understand tensors I am reading this document. In page 15 we have $A^mu_alphaa^alphaA^mu_betab^beta=(A^T)^mu_alphaA^mu_betaa^alphab^beta$.
I can't see where that transposition comes from or why those expressions are equal. I've tried to expand those sums but I can't get the expected result (maybe I am getting confused by what those indexes in the transposed matrix mean).
So, what is $(A^T)^mu_alpha$ really?
index-notation
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In an attempt to understand tensors I am reading this document. In page 15 we have $A^mu_alphaa^alphaA^mu_betab^beta=(A^T)^mu_alphaA^mu_betaa^alphab^beta$.
I can't see where that transposition comes from or why those expressions are equal. I've tried to expand those sums but I can't get the expected result (maybe I am getting confused by what those indexes in the transposed matrix mean).
So, what is $(A^T)^mu_alpha$ really?
index-notation
asked yesterday
XxS4NN4SxXXxS4NN4SxX
11
New contributor
XxS4NN4SxX is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
In an attempt to understand tensors I am reading this document. In page 15 we have $A^mu_alphaa^alphaA^mu_betab^beta=(A^T)^mu_alphaA^mu_betaa^alphab^beta$.
I can't see where that transposition comes from or why those expressions are equal. I've tried to expand those sums but I can't get the expected result (maybe I am getting confused by what those indexes in the transposed matrix mean).
So, what is $(A^T)^mu_alpha$ really?
index-notation
asked yesterday
XxS4NN4SxXXxS4NN4SxX
11
New contributor
XxS4NN4SxX is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
In an attempt to understand tensors I am reading this document. In page 15 we have $A^mu_alphaa^alphaA^mu_betab^beta=(A^T)^mu_alphaA^mu_betaa^alphab^beta$.
I can't see where that transposition comes from or why those expressions are equal. I've tried to expand those sums but I can't get the expected result (maybe I am getting confused by what those indexes in the transposed matrix mean).
So, what is $(A^T)^mu_alpha$ really?
index-notation
index-notation
asked yesterday
XxS4NN4SxXXxS4NN4SxX
11
New contributor
XxS4NN4SxX is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked yesterday
XxS4NN4SxXXxS4NN4SxX
11
New contributor
XxS4NN4SxX is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited yesterday
XxS4NN4SxX
asked yesterday
XxS4NN4SxXXxS4NN4SxX
11
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asked yesterday
XxS4NN4SxXXxS4NN4SxX
11
asked yesterday
XxS4NN4SxXXxS4NN4SxX
11
11
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XxS4NN4SxX is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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It looks like there's a typo in the expression on the right side of the equation. I believe it should read $ (A^T)^alpha_muA^mu_betaa^alphab^beta $.
answered yesterday
lonza leggieralonza leggiera
1,03228
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1 Answer
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1 Answer
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$begingroup$
It looks like there's a typo in the expression on the right side of the equation. I believe it should read $ (A^T)^alpha_muA^mu_betaa^alphab^beta $.
answered yesterday
lonza leggieralonza leggiera
1,03228
$endgroup$
add a comment |
$begingroup$
It looks like there's a typo in the expression on the right side of the equation. I believe it should read $ (A^T)^alpha_muA^mu_betaa^alphab^beta $.
answered yesterday
lonza leggieralonza leggiera
1,03228
$endgroup$
add a comment |
$begingroup$
It looks like there's a typo in the expression on the right side of the equation. I believe it should read $ (A^T)^alpha_muA^mu_betaa^alphab^beta $.
answered yesterday
lonza leggieralonza leggiera
1,03228
$endgroup$
It looks like there's a typo in the expression on the right side of the equation. I believe it should read $ (A^T)^alpha_muA^mu_betaa^alphab^beta $.
answered yesterday
lonza leggieralonza leggiera
1,03228
answered yesterday
lonza leggieralonza leggiera
1,03228
answered yesterday
lonza leggieralonza leggiera
1,03228
answered yesterday
lonza leggieralonza leggiera
1,03228
1,03228
add a comment |
add a comment |
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